Resonances and lower resolvent bounds

Author(s)
Zworski, Maciej; Datchev, Kiril; Dyatlov, Semen
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Abstract
We show how the presence of resonances close to the real axis implies exponential lower bounds on the norm of the cut-off resolvent on the real axis. Keywords: resolvent estimates; scattering resonances; semiclassical analysis
Date issued
2015-08
URI
http://hdl.handle.net/1721.1/115913
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Journal of Spectral Theory
Publisher
European Mathematical Publishing House
Citation
Datchev, Kiril et al. “Resonances and Lower Resolvent Bounds.” Journal of Spectral Theory 5, 3 (2015): 599–615 © European Mathematical Society
Version: Original manuscript
ISSN
1664-039X
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